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Simplifying 2x + 5x + -25(x + -5) = (2x + -5) Reorder the terms: 2x + 5x + -25(-5 + x) = (2x + -5) 2x + 5x + (-5 * -25 + x * -25) = (2x + -5) 2x + 5x + (125 + -25x) = (2x + -5) Reorder the terms: 125 + 2x + 5x + -25x = (2x + -5) Combine like terms: 2x + 5x = 7x 125 + 7x + -25x = (2x + -5) Combine like terms: 7x + -25x = -18x 125 + -18x = (2x + -5) Reorder the terms: 125 + -18x = (-5 + 2x) Remove parenthesis around (-5 + 2x) 125 + -18x = -5 + 2x Solving 125 + -18x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 125 + -18x + -2x = -5 + 2x + -2x Combine like terms: -18x + -2x = -20x 125 + -20x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 125 + -20x = -5 + 0 125 + -20x = -5 Add '-125' to each side of the equation. 125 + -125 + -20x = -5 + -125 Combine like terms: 125 + -125 = 0 0 + -20x = -5 + -125 -20x = -5 + -125 Combine like terms: -5 + -125 = -130 -20x = -130 Divide each side by '-20'. x = 6.5 Simplifying x = 6.5
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